Question

The sum of 3 nos in an ap is 15 and their product is 80

Answer 1

Answer:

2, 5 and 8.

Step-by-step explanation:

Let the three. numbers be a-d, a and a+d.

Sum of these numbers = 15

a - d + a + a + d = 15

=> 3a = 15

=> a = 5

Product of these numbers is 80

$(a - d) \times a \times (a + d) = 80$

$a \times ( {a}^{2} - {d}^{2} ) = 80$

$5 \times ( {5}^{2} - {d}^{2} ) = 80$

$( {5}^{2} - {d}^{2} ) = \frac{80}{5}$

$25 - {d}^{2} = 16$

${d}^{2} = 25 - 16$

$d = \sqrt{9}$

$d = \pm \: 3$

The three numbers are 2, 5 and 8.